Please find the attached diagram for a better understanding of the question.
As we can see from the diagram,
RQ = 21 feet = height of the hill
PQ = 57 feet = Distance between you and the base of the hill
SR= h=height of the statue
=Angle subtended by the statue to where you are standing.
= which is unknown.
Let us begin solving now. The first step is to find the angle 
which can be found by using the following trigonometric ratio in 
:
Which gives to be:
Now, we know that and can be added to give us the complete angle 
in the right triangle 
.
We can again use the tan trigonometric ratio in to solve for the height of the statue, h.
This can be done as:
Thus, the height of the statue is approximately, 8.45 feet.
Answer:
180 square feet
Step-by-step explanation:
A rug that is geometrically similar to her room floor is one that has the same size as her room floor.
The floor has dimensions 12 feet by 15 feet.
The area of the floor and hence, the rug is:
A = 12 * 15 = 180 square feet
She should buy a rug that is 180 square feet
6. No it is not equilateral because a. All the angles should be congruent (60) and as we can tell, they are not, and b. you should never assume measurements.
8. GF is the longest because the angle for that side (GFH) is smaller than the others, so it means it has a longer side.
Your answer for 9 is wrong. The answer is yes because the largest angle = the largest side.
10. AC because largest angle = largest side
11. Literally the same thing as 9 and 10. Largest angle = largest side
Rectangle Area = length • width
5x • (x + 2) = area
(5x^2 + 10x) is the area, with no further ways to simplify.
<u>4h + 7 = 4h - 3</u>
Subtract 4h from each side: 7 = -3
There is no value of ' h ' that can make this a true statement,
so the equation has no solution.
